Solve 125x^(2)-48x-54=0

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{24 - 3 814}{125}, x_{2} = \frac{24 + 3 814}{125}

Alternative Form

x_{1} \approx - 0.492736, x_{2} \approx 0.876736

Evaluate

125 x^{2} - 48 x - 54 = 0

Substitute a= 125,b= - 48 and c= - 54 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{48 \pm ( - 48 ) ^{2} - 4 \times 125 ( - 54 )}{2 \times 125}

Simplify the expression

x = \frac{48 \pm ( - 48 ) ^{2} - 4 \times 125 ( - 54 )}{250}

Simplify the expression

More Steps

x = \frac{48 \pm 29304}{250}

Simplify the radical expression

More Steps

x = \frac{48 \pm 6 814}{250}

Separate the equation into 2 possible cases

x = \frac{48 + 6 814}{250} x = \frac{48 - 6 814}{250}

Simplify the expression

More Steps

x = \frac{24 + 3 814}{125} x = \frac{48 - 6 814}{250}

Simplify the expression

More Steps

x = \frac{24 + 3 814}{125} x = \frac{24 - 3 814}{125}

Solution

x_{1} = \frac{24 - 3 814}{125}, x_{2} = \frac{24 + 3 814}{125}

Alternative Form

x_{1} \approx - 0.492736, x_{2} \approx 0.876736

Show Solution